Solve 5-3(2x+1)=4(x-5)+6

$$5 - 3 ( 2 x + 1 ) = 4 ( x - 5 ) + 6$$

Solve for x

$$x = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 2x+1.

$$5-6x-3=4\left(x-5\right)+6$$

Subtract 3 from 5 to get 2.

$$2-6x=4\left(x-5\right)+6$$

Use the distributive property to multiply 4 by x-5.

$$2-6x=4x-20+6$$

Add -20 and 6 to get -14.

$$2-6x=4x-14$$

Subtract 4x from both sides.

$$2-6x-4x=-14$$

Combine -6x and -4x to get -10x.

$$2-10x=-14$$

Subtract 2 from both sides.

$$-10x=-14-2$$

Subtract 2 from -14 to get -16.

$$-10x=-16$$

Divide both sides by -10.

$$x=\frac{-16}{-10}$$

Reduce the fraction \frac{-16}{-10} to lowest terms by extracting and canceling out -2.

$$x=\frac{8}{5}$$